Answer:
Choice B is correct answer.
Step-by-step explanation:
We have given an inequality.
4|x – 9| + 6 > 42
We have to find the solution of given inequality.
Adding -6 to both sides of above inequality, we have
4|x – 9| + 6 -6 > 42-6
4|x – 9| + 0 > 36
4|x – 9| > 36
Dividing above inequality by 4 , we have
4|x – 9| > 36
(4|x – 9|) / 4 > 36 / 4
|x – 9| > 9
Applying absolute value property, we have
-9 > x-9 > 9
Adding 9 to both sides of above equation, we have
-9+9 > x-9+9 > 9+9
0 > x > 18
Hence, we can write above inequality as:
x < 0 or x > 18 which is the answer.
Answer:
an = -9 -3(n -1)
Step-by-step explanation:
The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
Putting your numbers into the formula gives ....
an = -9 -3(n-1)
A) We are told that at 2 hours, the velocity is 18 km/h and at 4 hours, the velocity is 4 km/h. Since we are relating two variables - let's give them names.
Let x = time and y = velocity. Since the velocity depends on the time (that is, the time influences velocity), this is a linear function. Any linear function can be written in slope intercept form as y = mx + b. The problem wants the situation in standard from of Ax + By = C, which can be found from slope intercept form.
So now we can make our line. Consider the ordered pairs of (2,18) and (4, 4) with them in (x, y) form. Finding the slope, m, between these points is as such:
m = y₂-y₁ / x₂-x₁
m = 4 - 18 / 4 - 2
m = -14 / 2 = -7.
Our slope is -7.
We take m = -7, x = 4, and y = 4 (it goes 4 km/h in 4 hrs) and use those three things to find the y-intercept.
y = mx + b
4 = -7 * 4 + b
4 = -28 + b
32 = b
So our equation of the line is y = -7x + 32. To put the equation into standard form, we need to place all the variables on one side of the equals sign, all the numbers on the other.
y = -7x + 32
7x + y = 32
In standard form, the equation for this situation is 7x + y = 32
***
To find out the velocity at 8 hours, we evaluate our function at x = 8. Either equation (standard form or slope intercept) works; we use standard form.
7x + y = 32
7*8 + y = 32
56 + y = 32
y = -24
At a time of eight hours, the bicycle is moving at -24 km/h.
Answer:
in
Step-by-step explanation:
everybody hates Chris the lottery go exit the bathroom and eat a chicken nugget and and
Answer:
your answer would be 9
a=9
Step-by-step explanation:
